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Finding the Fourth Proportional to 1,205.88, 1,805.57 and 857.37

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Solution

The fourth proportional to 1,205.88, 1,805.57 and 857.37 is: 1,283.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.88 : 1,805.57 = 857.37 : x
  2. Step 2: Convert to fraction form
    1,205.88/1,805.57 = 857.37/x
  3. Step 3: Cross multiply
    1,205.88x = 1,805.57 × 857.37
  4. Step 4: Simplify right side
    1,205.88x = 1,548,041.55
  5. Step 5: Solve for x
    x = 1,548,041.55/1,205.88
  6. Step 6: Final answer
    x = 1,283.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.